Least Common Multiple of 983/32, 506/1268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 983/32, 506/1268 quickly i.e. 497398/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 983/32, 506/1268 is 497398/4.

LCM(983/32, 506/1268) = 497398/4

LCM of 983/32, 506/1268

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 983/32,506/1268

Given numbers are 983/32,506/1268

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 983,506

Least Common Multiple of Numerators i.e. LCM of 983,506 is 497398.

GCF of Denominators means GCF of 32,1268 as per the given fractions.

GCF of 32,1268 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 983,506

LCM of Fractions 983/32,506/1268 is 497398/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 497398

Least Common Multiple of 983,506 with GCF Formula

Least Common Multiple of 983,506 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 983,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,506) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(983,506) x common factors =1 x 1 = 1

LCM(983,506) = ( 983 × 506 ) / 1

LCM(983,506) = 497398 / 1

LCM(983,506) = 497398


Lets's calculate GCF of 32,1268

2 32, 1268
2 16, 634
8, 317

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 497398/4

Therefore the LCM of Fractions 983/32,506/1268 is 497398/4

Greatest Common Factor of 32,1268 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,1268 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 1268

List of positive integer factors of 1268 that divides 1268 without a remainder.

1,2,4,317,634,1268

Greatest Common Factor

We found the factors 32,1268 . The biggest common factor number is the GCF number.
So the greatest common factor 32,1268 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 983/32, 506/1268

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 983/32, 506/1268?

Answer: LCM of Numerators as per given numbers 983/32, 506/1268 is

LCM of Numerators i.e. for 983,506 is 497398

GCF of denominators i.e. for 32,1268 is 4.

Thus, LCM of Fractions is 497398/4.Finally, LCM of Fractions for 983/32, 506/1268 is 497398/4.